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On the eigenvalues of spectral gaps of matrix-valued Schrödinger operators
Numerical Algorithms ( IF 2.1 ) Pub Date : 2020-03-11 , DOI: 10.1007/s11075-020-00904-x
Salma Aljawi , Marco Marletta

This paper presents a method for calculating eigenvalues lying in the gaps of the essential spectrum of matrix-valued Schrödinger operators. The technique of dissipative perturbation allows eigenvalues of interest to move up the real axis in order to achieve approximations free from spectral pollution. Some results of the behaviour of the corresponding eigenvalues are obtained. The effectiveness of this procedure is illustrated by several numerical examples.



中文翻译:

关于矩阵值薛定ding算子的谱隙特征值

本文提出了一种计算特征值的方法,该特征值位于矩阵值薛定ding算子的基本谱的间隙中。耗散摄动技术允许感兴趣的特征值沿实轴向上移动,以实现不受光谱污染的近似值。获得了对应特征值的行为的一些结果。几个数值示例说明了此过程的有效性。

更新日期:2020-03-11
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